11126112600 has 192 divisors, whose sum is σ = 36087690240. Its totient is φ = 2832716800.

The previous prime is 11126112583. The next prime is 11126112607. The reversal of 11126112600 is 621162111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11126112607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151389 + ... + 1161011.

It is an arithmetic number, because the mean of its divisors is an integer number (187956720).

Almost surely, 2^11126112600 is an apocalyptic number.

11126112600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11126112600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043845120).

11126112600 is an abundant number, since it is smaller than the sum of its proper divisors (24961577640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11126112600 is a wasteful number, since it uses less digits than its factorization.

11126112600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11126112600 its reverse (621162111), we get a palindrome (11747274711).

The spelling of 11126112600 in words is "eleven billion, one hundred twenty-six million, one hundred twelve thousand, six hundred".